P(A) = 0.20, P(B) = 0.70, A and B are independent.
B B' Marginal
A 0.14 0.06 0.20
A' 0.56 0.24 0.80
Marginal 0.70 0.30 1.00
The 0.14 is because the probability of A and B is the probability of A times the probability of B or 0.20 * 0.70 = 0.14.

Dependent Events

If the occurrence of one event does affect the probability of the other occurring, then the events are dependent.

Conditional Probability

The probability of event B occurring that event A has already occurred is read "the probability of B given A" and is written: P(B|A)